How large is the first strongly compact cardinal? or a study on identity crises

Menachem Magidor

doi:10.1016/0003-4843(76)90024-3

How large is the first strongly compact cardinal? or a study on identity crises

Menachem Magidor^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

96 Scopus citations

Abstract

It is proved that if strongly compact cardinals are consistent, then it is consistent that the first such cardinal is the first measurable. On the other hand, if it is consistent to assume the existence of supercompact cardinal, then it is consistent to assume that it is the first strongly compact cardinal.

Original language	English
Pages (from-to)	33-57
Number of pages	25
Journal	Annals of Mathematical Logic
Volume	10
Issue number	1
DOIs	https://doi.org/10.1016/0003-4843(76)90024-3
State	Published - Aug 1976
Externally published	Yes

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How large is the first strongly compact cardinal? or a study on identity crises

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